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Homomorhism

Глоссарий по кибернетике
    A many-to-one mapping in effect representing (->representation) a pattern in the domain of the mapping by a simpler pattern in its range. the product of applying a homomorphism is called a homomorph. homomorphisms are important in establishing whether one system is a model of another and which properties of the original system the model retains. for each system one can construct a lattice of homomorphic simplifications. the inverse of a homomorphism is not a mapping. 37




Representation, английский
  1. N репрезента- ция, представление knowledge ~ представление знаний internal ~ псхл. внутреннее представление mental ~ ментальная репрезентация

  2. A collateral statement of such facts not inserted on the policy of insurance, as may give the underwriters a just estimate of the risk of the adventure. (see warranty.)

  3. A representation is a set of conventions about how to describe a class of things. representation will generally consist of four parts: 1. a lexicon that determines which symbols are in it vocabulary; 2. a structural part that describes the constraints on the symbols; 3. a collection of methods or procedures that allow the symbols to be manipulated and queried; and 4. a semantics that specifies the meaning of the symbols and their relationships. re-ranking in handwriting and text recognition systems, the task of re-ranking allows the candidate interpretations developed by the recognizer to be ranked or scored according to the language model. see also: word n-gram re-ranking, word-tag model.

  4. If something stands in place of or is chosen to substitute for something else, the former is considered a representation of the latter. e.g., representation of constituencies in government, linguistic representation of an event (->symbol). the 66 belief that all knowledge is a representation of the properties of the real world is as unacceptable as the insistence that all descriptions or messages are about something else.


Homomorphism, английский
    Гомоморфизм


Properties, английский
  1. A dockable window that displays the properties that are set on the selected object. in most cases, the property values can be edited in the window.

  2. A ui element that users can click to display information about a selected object.


History determined, английский
    Attribute of systems whose behavior is specified or can be understood better by looking into its past history. in contrast to state determined systems, predictability of the future states of such systems improves when relying not only on their current state but on a finite sequence of states preceeding them. e.g., higher-than-flrst-order markov chains (->memory). it can be argued that all history determined systems are incompletely observed state determined systems and that the recourse into history has heuristic value.


Hoosphere, английский
    A term modelled after "atmosphere" and "biosphere" signifying (a) the space occupied by the totality of information and human knowledge collectively available to man and (b) the processes operating in this space, e.g., combinatorial mating, classification, reproduction, simplification, selective decay.